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Attractors and basins of cascading networked evolutionary game under generalized asynchronous update

Author

Listed:
  • Sun, Ruichen
  • Zhang, Hao
  • Zou, Chengye
  • Zhang, Chuan
  • Liu, Zhengqi

Abstract

Methods for finding the attractors and determining their basins in generalized asynchronous networked evolutionary games (GANEGs) and generalized asynchronous cascading networked evolutionary games (GACNEGs) are studied in this paper. Specifically, first, we model the NEGs and the CNEGs, and then linearize them into algebraic forms. Secondly, the algebraic forms of the GANEGs and the GACNEGs are derived. Then, this work defines the table of profile transitions in an asynchronous game and propose two theorems that search for the fixed points and attractors in the GANEGs and the GANEGs. Additionally, algorithm for finding attractors and their basins is provided. Finally, two examples clarify the previously mentioned theoretical findings about searching for attractors and basins.

Suggested Citation

  • Sun, Ruichen & Zhang, Hao & Zou, Chengye & Zhang, Chuan & Liu, Zhengqi, 2025. "Attractors and basins of cascading networked evolutionary game under generalized asynchronous update," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p1:s096007792501015x
    DOI: 10.1016/j.chaos.2025.117002
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    References listed on IDEAS

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    4. Wu, Yipeng & Chen, Zhilong & Zhao, Xudong & Liu, Ying & Zhang, Ping & Liu, Yajiao, 2021. "Robust analysis of cascading failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    5. Guo, Hengdao & Zheng, Ciyan & Iu, Herbert Ho-Ching & Fernando, Tyrone, 2017. "A critical review of cascading failure analysis and modeling of power system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 9-22.
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